457666860 has 144 divisors (see below), whose sum is σ = 1578546144. Its totient is φ = 98445312.

The previous prime is 457666849. The next prime is 457666861. The reversal of 457666860 is 68666754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457666861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45402 + ... + 54558.

It is an arithmetic number, because the mean of its divisors is an integer number (10962126).

Almost surely, 2^457666860 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 457666860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789273072).

457666860 is an abundant number, since it is smaller than the sum of its proper divisors (1120879284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457666860 is a wasteful number, since it uses less digits than its factorization.

457666860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9191 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The square root of 457666860 is about 21393.1498382076. The cubic root of 457666860 is about 770.6369385484.

The spelling of 457666860 in words is "four hundred fifty-seven million, six hundred sixty-six thousand, eight hundred sixty".